What is the ''time complexity'' of matrix multiplication?
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This project investigates the time complexity of different matrix multiplication algorithms. The objectives of the project are:
understand and implement the naive, recursive and strassen algorithms for matrix multiplicationrun experiments to measure the run-time for each algorithm for different sized extrapolate from this data to find crossing over points at which one algorithm becomes more efficient than another..
understand and implement the naive, recursive and strassen algorithms for matrix multiplicationrun experiments to measure the run-time for each algorithm for different sized extrapolate from this data to find crossing over points at which one algorithm becomes more efficient than another..
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Explanation:
The fastest known matrix multiplication algorithm is Coppersmith-Winograd algorithm with a complexity of O(n2.3737). Unless the matrix is huge, these algorithms do not result in a vast difference in computation time.
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